scholarly journals Expression of a Real Matrix as a Difference of a Matrix and its Transpose Inverse

2019 ◽  
Vol 11 (1) ◽  
pp. 1-6
Author(s):  
Mil Mascaras ◽  
Jeffrey Uhlmann
Keyword(s):  
Control Theory ◽  
Computational Simulation ◽  
Real Matrix ◽  
Matrix Representations ◽  
Articulated Figures ◽  
The Difference

In this paper we derive a representation of an arbitrary real matrix M as the difference of a real matrix A and the transpose of its inverse. This expression may prove useful for progressing beyond known results for which the appearance of transpose-inverse terms prove to be obstacles, particularly in control theory and related applications such as computational simulation and analysis of matrix representations of articulated figures.

scholarly journals Mathematical and geometrical modeling of braided ropes bent over a sheave

2020 ◽  
Vol 15 ◽  
pp. 155892502093972
Author(s):  
Guifang He ◽  
Chunfu Sheng ◽  
Hongwei He ◽  
Rong Zhou ◽  
Ding Yuan ◽  
...  
Keyword(s):  
Mathematical Method ◽  
Phase Difference ◽  
Computational Simulation ◽  
The Other ◽  
Force Transmission ◽  
Helical Surface ◽  
Modeling Process ◽  
Mathematical Equations ◽  
The Difference ◽  
Final Equation

As soft elements for force transmission, braided fiber ropes play important roles in many fields where the fiber ropes are used bent over sheaves, while the relevant experiments are time-consuming and expensive. Computational simulation is a promising choice for evaluating the performance of fiber ropes when bent over a sheave. This article presents two methods that could be employed to build a model of braided rope bent over a sheave. One is the mathematical method which deduces the exact mathematical equations of braiding curves based on the Frenet–Serret frame. The spatial equations, considering the phase difference of strands in the same direction and the difference of strands’ projection in different directions, are discussed carefully. The final equation of braided strands is confirmed by modeling the braided rope in Maple® 17. The other method, which is inspired by the analysis of braiding movements, is based on the intersection of surfaces of braiding surface and helical surface which are introduced and defined based on the motion analysis of bobbins and take-up roller. The SolidWorks® 2018 is successfully employed to realize the modeling process.

VEHICLE CONTROL OF VEHICLES SEPARATING FROM VEHICLE PLATOON

2017 ◽  
Vol 4 (1) ◽  
Author(s):  
Eisuke Kita ◽  
Ryoma Sato ◽  
Miichiro Yamada ◽  
Tatsuhiro Tamaki
Keyword(s):  
Objective Function ◽  
Traffic Flow ◽  
Computational Simulation ◽  
Vehicle Control ◽  
Control Model ◽  
Experimental Results ◽  
Velocity Control ◽  
Vehicle Platoon ◽  
Simulation Results ◽  
The Difference

Vehicle platoon is very important techniques for increasing the traffic flow safely and effectively. The electric and mechanical systems are necessary for effective vehicle platoon. Several systems have been studied for control vehicles in the platoon. This paper focuses on the velocity control of the vehicles separating from the vehicle platoon. The velocity control model is defined according to the vehicle following model and then, the parameters are determined by minimizing the objective function. The model with the optimized parameters is applied for the vehicle platoon experiment of LEGO Mindstorms NXT. The experimental results are compared with the simulation results in order to confirm the validity of the model. Although the experimental results finally converge to the simulation results, there exists the difference between the computational simulation and the experimental results because of the error of the sensor and the others.

Putting applicant faking effects on personality tests into context

2017 ◽  
Vol 32 (6) ◽  
pp. 460-468 ◽  
Author(s):  
Gary N. Burns ◽  
Elizabeth A. Shoda ◽  
Mark A. Roebke
Keyword(s):  
Mathematical Proof ◽  
Computational Simulation ◽  
Effect Sizes ◽  
Personality Testing ◽  
Personality Tests ◽  
Sample Mean ◽  
Content Type ◽  
Applicant Faking ◽  
The Difference ◽  
The Impact

Purpose Estimates of the effects of faking on personality scores typically represent the difference from one sample mean to another sample mean in terms of standard deviations. While this is technically accurate, it does put faking effects into the context of the individuals actually engaging in faking behavior. The purpose of this paper is to address this deficiency. Design/methodology/approach This paper provides a mathematical proof and a computational simulation manipulating faking effect size, prevalence of faking, and the size of the applicant pool. Findings The paper illustrates that reported effects of faking are underestimates of the amount of faking that individual test takers are engaging in. Results provide researchers and practitioners with more accurate estimates of how to interpret faking effects sizes. Practical implications To understand the impact of faking on personality testing, it is important to consider both faking effect sizes as well as the prevalence of faking. Originality/value Researchers and practitioners do not often consider the real implications of faking effect sizes. The current paper presents those results in a new light.

Control Theory Practices Applied to Teaching Practical Control Theory

2017 ◽  
Author(s):  
Leo Stocco ◽  
Ignacio Galiano ◽  
Francisco Paz ◽  
Roberto Rosales ◽  
David Feixo
Keyword(s):  
Control Theory ◽  
Control Systems ◽  
Teaching And Learning ◽  
Project Based Learning ◽  
Employment Rate ◽  
Error Signal ◽  
Chemical Systems ◽  
Proposed Model ◽  
Micro Level ◽  
The Difference

Control theory is useful in a broad range of diverse applications that include mechanical, electrical and chemical systems. This work extends the application of control theory from achieving a desired technical outcome to achieving a desired pedagogical outcome. In this paper, the desired outcome is the teaching and learning of applied control systems theory. In the proposed model, the student is the plant, their skill set is the set point, the instructor is the controller, and either an exam or a project-based-learning (PBL) course is the sensor. The PBL course is used to evaluate the actual skill set of the students and the difference between the actual and desired skill set (error signal) is fed back to the professor to initiate curricular changes. This model is shown to be applicable at various levels. At the micro level, examinations within a course are used to optimize that course. At the intermediate level, a PBL course is used as the sensor for a conventional lecture-based course. At the macro level, the departmental program as a whole is matched to the needs of industry in pursuit of a 100% employment rate of its students.

scholarly journals Eigenvalues of matrices related to the octonions

4open ◽  
2019 ◽  
Vol 2 ◽  
pp. 16
Author(s):  
Rogério Serôdio ◽  
Patricia Beites ◽  
José Vitória
Keyword(s):  
Matrix Representation ◽  
Real Matrix ◽  
Matrix Representations ◽  
Estimation Algorithms ◽  
The Matrix

A pseudo real matrix representation of an octonion, which is based on two real matrix representations of a quaternion, is considered. We study how some operations defined on the octonions change the set of eigenvalues of the matrix obtained if these operations are performed after or before the matrix representation. The established results could be of particular interest to researchers working on estimation algorithms involving such operations.

scholarly journals Optimization of Plastic Scintillator for Detection of Gamma-Rays: Simulation and Experimental Study

Chemosensors ◽  
2021 ◽  
Vol 9 (9) ◽  
pp. 239
Author(s):  
Sujung Min ◽  
Youngsu Kim ◽  
Kwang-Hoon Ko ◽  
Bumkyung Seo ◽  
JaeHak Cheong ◽  
...  
Keyword(s):  
Atomic Number ◽  
High Performance ◽  
High Efficiency ◽  
Gamma Ray ◽  
Plastic Scintillator ◽  
Computational Simulation ◽  
Radiation Detection ◽  
High Atomic Number ◽  
Plastic Scintillators ◽  
The Difference

Plastic scintillators are widely used in various radiation measurement applications, and the use of plastic scintillators for nuclear applications including decommissioning, such as gamma-ray detection and measurement, is an important concern. With regard to efficient and effective gamma-ray detection, the optimization for thickness of plastic scintillator is strongly needed. Here, we elucidate optimization of the thickness of high-performance plastic scintillator using high atomic number material. Moreover, the EJ-200 of commercial plastic scintillators with the same thickness was compared. Two computational simulation codes (MCNP, GEANT4) were used for thickness optimization and were compared with experimental results to verify data obtained by computational simulation. From the obtained results, it was confirmed that the difference in total counts was less than 10% in the thickness of the scintillator of 50 mm or more, which means optimized thickness for high efficiency gamma-ray detection such as radioactive 137Cs and 60CO. Finally, simulated results, along with experimental data, were discussed in this study. The results of this study can be used as basic data for optimizing the thickness of plastic scintillators using high atomic number elements for radiation detection and monitoring.

scholarly journals Real Matrix Representations for the Complex Quaternions

2013 ◽  
Vol 23 (3) ◽  
pp. 657-671 ◽  
Author(s):  
Cristina Flaut ◽  
Vitalii Shpakivskyi
Keyword(s):  
Real Matrix ◽  
Matrix Representations

scholarly journals On the Solutions of Some Linear Complex Quaternionic Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Cennet Bolat ◽  
Ahmet İpek
Keyword(s):  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Sylvester Equation ◽  
Real Matrix ◽  
Matrix Representations ◽  
Linear Complex ◽  
The Real ◽  
Special Cases ◽  
Necessary And Sufficient

Some complex quaternionic equations in the typeAX-XB=Care investigated. For convenience, these equations were called generalized Sylvester-quaternion equations, which include the Sylvester equation as special cases. By the real matrix representations of complex quaternions, the necessary and sufficient conditions for the solvability and the general expressions of the solutions are obtained.

scholarly journals ON THE REAL MATRIX REPRESENTATION OF PT-SYMMETRIC OPERATORS

2014 ◽  
Vol 54 (2) ◽  
pp. 113-115 ◽  
Author(s):  
Francisco M. Fernández
Keyword(s):  
Matrix Representation ◽  
Real Matrix ◽  
Matrix Representations ◽  
The Real ◽  
Symmetric Operators

We discuss the construction of real matrix representations of PT-symmetric operators. We show the limitation of a general recipe presented some time ago for non-Hermitian Hamiltonians with antiunitary symmetry and propose a way to overcome it. Our results agree with earlier ones for a particular case.

Study of Air-Flow and Temperature Distribution in a Small-Scale Dryer for Grains Drying

2014 ◽  
Vol 627 ◽  
pp. 353-356
Author(s):  
Almon Chai ◽  
Stefan Kho ◽  
Ha How Ung
Keyword(s):  
Temperature Distribution ◽  
Air Flow ◽  
Computational Simulation ◽  
Small Scale ◽  
Agricultural Product ◽  
Contour Plots ◽  
Simulation Results ◽  
The Difference ◽  
Opening And Closing ◽  
Prototype Design

This paper describes the work performed on a small-scale dryer designed to allow agricultural product to be dried by farmers via usage of slanted plates for grains transportation. This work involves the prototype design, computational simulation using Comsol Multiphysics and study of the results. The computational simulation results are plotted in temperature contour-plots based on the prototype modelling and boundary conditions. The results illustrate the difference in opening and closing of grains inlet and also effects of the temperature distribution within the dryer. Air-flow relative humidity is also introduced to allow observation of the drying air-flow on the grains. The simulation results are shown and elaborated here. From the results, it is evident the grains can be dried as the injected heated air-flow is projected onto the plates. It can also be concluded here that farmers may need to close the grains inlet of the dryer to prevent heat loss and non-uniform distribution of heat.

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